Reflections and Asymptotes in Functions

Reflections and Asymptotes in Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial explains how to graph reflections of exponential functions. It covers vertical reflections by multiplying the function by a negative coefficient, resulting in a reflection over the x-axis. It also discusses horizontal reflections by using a negative exponent, leading to a reflection over the y-axis. Key points and transformations are identified to aid in graphing these functions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the base of the exponential function discussed in the introduction?

-2

2

-1

1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a negative sign in front of an exponential function indicate?

Horizontal shift

Vertical reflection

No change

Scaling

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How are the y-values affected by the negative sign in the function?

They are multiplied by -1

They are doubled

They are halved

They remain unchanged

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the graph when it is flipped upside down?

It reflects over the y-axis

It moves to the right

It moves to the left

It reflects over the x-axis

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Where is the horizontal asymptote located for the function discussed?

y = 2

y = 1

y = 0

y = -1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of reflection occurs when the negative sign is attached directly to x?

Horizontal reflection

Vertical reflection

No reflection

Diagonal reflection

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the negative sign affect the x-values in a horizontal reflection?

They are doubled

They are halved

They remain unchanged

They are multiplied by -1

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